SOLUTION: Teres's boat has a top speed of 12 miles per hour in still water. While traveling on river at top speed, she went 20 miles upstream in same amount of time sge went 49 miles downstr
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Question 1078177: Teres's boat has a top speed of 12 miles per hour in still water. While traveling on river at top speed, she went 20 miles upstream in same amount of time sge went 49 miles downstream. Find the rate of the river current?
Answer by addingup(3677) (Show Source): You can put this solution on YOUR website!
20/(12-x) = 49/(12+x)
12-x/20 = 12+x/49
3/5-x/20 = x/49+12/49
subtract x/49+3/5 from both sides:
-69x/980 = -87/245
multiply both sides times 980/60
x = 116/23 = 5.04
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Check:
20/12-5.04 = 49/12+5.04
20/6.96 = 49/17.04 Use your calculator to see that the answer is correct.
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